UltraLogic: Enhancing LLM Reasoning through Large-Scale Data Synthesis and Bipolar Float Reward

Fuente: arXiv
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Auteurs principaux: Liu, Yile, Liu, Yixian, Li, Zongwei, Huang, Yufei, Feng, Xinhua, Hu, Zhichao, Hu, Jinglu, Yan, Jianfeng, Lian, Fengzong, Liu, Yuhong
Format: Preprint
Publié: 2026
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author Liu, Yile
Liu, Yixian
Li, Zongwei
Huang, Yufei
Feng, Xinhua
Hu, Zhichao
Hu, Jinglu
Yan, Jianfeng
Lian, Fengzong
Liu, Yuhong
author_facet Liu, Yile
Liu, Yixian
Li, Zongwei
Huang, Yufei
Feng, Xinhua
Hu, Zhichao
Hu, Jinglu
Yan, Jianfeng
Lian, Fengzong
Liu, Yuhong
contents While Large Language Models (LLMs) have demonstrated significant potential in natural language processing , complex general-purpose reasoning requiring multi-step logic, planning, and verification remains a critical bottleneck. Although Reinforcement Learning with Verifiable Rewards (RLVR) has succeeded in specific domains , the field lacks large-scale, high-quality, and difficulty-calibrated data for general reasoning. To address this, we propose UltraLogic, a framework that decouples the logical core of a problem from its natural language expression through a Code-based Solving methodology to automate high-quality data production. The framework comprises hundreds of unique task types and an automated calibration pipeline across ten difficulty levels. Furthermore, to mitigate binary reward sparsity and the Non-negative Reward Trap, we introduce the Bipolar Float Reward (BFR) mechanism, utilizing graded penalties to effectively distinguish perfect responses from those with logical flaws. Our experiments demonstrate that task diversity is the primary driver for reasoning enhancement , and that BFR, combined with a difficulty matching strategy, significantly improves training efficiency, guiding models toward global logical optima.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03205
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle UltraLogic: Enhancing LLM Reasoning through Large-Scale Data Synthesis and Bipolar Float Reward
Liu, Yile
Liu, Yixian
Li, Zongwei
Huang, Yufei
Feng, Xinhua
Hu, Zhichao
Hu, Jinglu
Yan, Jianfeng
Lian, Fengzong
Liu, Yuhong
Computation and Language
Artificial Intelligence
While Large Language Models (LLMs) have demonstrated significant potential in natural language processing , complex general-purpose reasoning requiring multi-step logic, planning, and verification remains a critical bottleneck. Although Reinforcement Learning with Verifiable Rewards (RLVR) has succeeded in specific domains , the field lacks large-scale, high-quality, and difficulty-calibrated data for general reasoning. To address this, we propose UltraLogic, a framework that decouples the logical core of a problem from its natural language expression through a Code-based Solving methodology to automate high-quality data production. The framework comprises hundreds of unique task types and an automated calibration pipeline across ten difficulty levels. Furthermore, to mitigate binary reward sparsity and the Non-negative Reward Trap, we introduce the Bipolar Float Reward (BFR) mechanism, utilizing graded penalties to effectively distinguish perfect responses from those with logical flaws. Our experiments demonstrate that task diversity is the primary driver for reasoning enhancement , and that BFR, combined with a difficulty matching strategy, significantly improves training efficiency, guiding models toward global logical optima.
title UltraLogic: Enhancing LLM Reasoning through Large-Scale Data Synthesis and Bipolar Float Reward
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2601.03205